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Electrons on the Surface of Superfluid 3He

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Abstract

A review of recent investigations of transport properties of surface state electrons on superfluid 3He is given. The surface state electrons in this temperature region form the Wigner solid (WS), a triangular lattice of electrons with a typical lattice constant of 1 μm. The WS is accompanied with a shallow corrugation of He surface commensurate with the WS. A model is introduced to interpret the observed WS resistivity. The model takes into account specular quasiparticle (QP) reflection from the moderately corrugated free surface, and treats the QP as if it is a quasiclassical particle. After adopting anisotropic properties of superfluid 3He order parameter and QP energy, the model provides satisfactory account of the observed properties. Preliminary results of mobility measurements of ions trapped below superfluid 3He-B are also given.

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References

  1. A.J. Leggett, Rev. Mod. Phys. 47, 331 (1975)

    Article  ADS  Google Scholar 

  2. J.C. Wheatley, Rev. Mod. Phys. 47, 415 (1975)

    Article  ADS  Google Scholar 

  3. W.F. Brinkman, H. Smith, D.D. Osheroff, E.I. Blount, Phys. Rev. Lett. 33, 624 (1974)

    Article  ADS  Google Scholar 

  4. D.D. Osheroff, S. Engelsberg, W.F. Brinkman, L.R. Corruccini, Phys. Rev. Lett. 34, 190 (1975)

    Article  ADS  Google Scholar 

  5. H. Smith, W.F. Brinkman, S. Engelsberg, Phys. Rev. B 15, 199 (1977)

    Article  ADS  Google Scholar 

  6. C.C. Grimes, G. Adams, Phys. Rev. Lett. 42, 795 (1979)

    Article  ADS  Google Scholar 

  7. D.S. Fisher, B.I. Halperin, P.M. Platzman, Phys. Rev. Lett. 42, 798 (1979)

    Article  ADS  Google Scholar 

  8. E.Y. Andrei (ed.), Two-Dimensional Electron Systems on Helium and Other Cryogenic Substrates (Kluwer, Dordrecht, 1997)

    Google Scholar 

  9. Yu.P. Monarkha, K. Kono, Two-Dimensional Coulomb Liquids and Solids (Springer, Berlin/Heidelberg, 2004)

    Google Scholar 

  10. Y. Iye, J. Low Temp. Phys. 40(5–6), 441 (1980)

    Article  ADS  Google Scholar 

  11. H. Suto, K. Shirahama, K. Kono, Czech. J. Phys. Suppl. S1 46, 341 (1996)

    Article  Google Scholar 

  12. Yu.P. Monarkha, K. Kono, J. Phys. Soc Jpn. 66, 3901 (1997)

    Article  ADS  Google Scholar 

  13. Yu.P. Monarkha, K. Shirahama, O.I. Kirichek, K. Kono, Physica B 249–251, 636 (1998)

    Article  Google Scholar 

  14. K. Shirahama, O.I. Kirichek, K. Kono, Phys. Rev. Lett. 79, 4218 (1997)

    Article  ADS  Google Scholar 

  15. K. Shirahama, O.I. Kirichek, K. Kono, J. Low Temp. Phys. 110(1–2), 179 (1998)

    Article  Google Scholar 

  16. K. Shirahama, H. Suto, O.I. Kirichek, K. Kono, Physica B 284–288, 277 (2000)

    Article  Google Scholar 

  17. K. Kono, Physica B 280, 112 (2000)

    Article  ADS  Google Scholar 

  18. K. Kono, J. Low Temp. Phys. 126(1–2), 467 (2002)

    Article  Google Scholar 

  19. H. Ikegami, K. Kono, Phys. Rev. Lett. 97, 165303 (2006)

    Article  ADS  Google Scholar 

  20. L. Tewordt, N. Schopohl, J. Low Temp. Phys. 37(3–4), 421 (1979)

    Article  ADS  Google Scholar 

  21. N. Schopohl, J. Low Temp. Phys. 49(3–4), 347 (1982)

    Article  ADS  Google Scholar 

  22. M. Ashida, K. Nagai, Prog. Theor. Phys. 74, 949 (1985)

    Article  ADS  Google Scholar 

  23. R.S. Fishman, J.A. Sauls, Phys. Rev. B 33, 6068 (1986)

    Article  ADS  Google Scholar 

  24. R.S. Fishman, J.A. Sauls, Phys. Rev. B 38, 2526 (1988)

    Article  ADS  Google Scholar 

  25. E.V. Thuneberg, J. Low Temp. Phys. 122(5–6), 657 (2001)

    Article  Google Scholar 

  26. T. Shiino, H. Mukuda, K. Kono, W.F. Vinen, J. Low Temp. Phys. 126(1–2), 493 (2002)

    Article  Google Scholar 

  27. A.I. Ahonen, J. Kokko, O.V. Lounasmaa, M.A. Paalanen, R.C. Richardson, W. Schoepe, Y. Takano, Phys. Rev. Lett. 37, 511 (1976)

    Article  ADS  Google Scholar 

  28. G. Baym, C.J. Pethick, M. Salomaa, Phys. Rev. Lett. 38, 845 (1977)

    Article  ADS  Google Scholar 

  29. K.K. Nummila, J.T. Simola, J.S. Korhonen, J. Low Temp. Phys. 75(3–4), 111 (1989)

    Article  ADS  Google Scholar 

  30. A.P. Schnyder, S. Ryu, A. Furusaki, A.W.W. Ludwig, Phys. Rev. B 78, 195125 (2008)

    Article  ADS  Google Scholar 

  31. X.-L. Qi, T.L. Hughes, S. Raghu, S.-C. Zhang, Phys. Rev. Lett. 102, 187001 (2009)

    Article  ADS  Google Scholar 

  32. K. Kono, H. Ikegami, Yu.P. Monarkha, J. Phys. Soc. Jpn. 77, 111004 (2008)

    Article  ADS  Google Scholar 

  33. J.A. Sauls, J.W. Serene, Phys. Rev. Lett. 49, 1183 (1982)

    Article  ADS  Google Scholar 

  34. P.D. Roach, J.B. Ketterson, P.R. Roach, Phys. Rev. Lett. 39, 626 (1977)

    Article  ADS  Google Scholar 

  35. J. Kokko, M.A. Paalanen, W. Schoepe, Y. Takano, J. Low Temp. Phys. 33(1–2), 69 (1978)

    Article  ADS  Google Scholar 

  36. A. Yamaguchi, D. Ueno, K. Obara, V. Efimov, H. Ishimoto, Phys. Rev. B 66, 132502 (2002)

    Article  ADS  Google Scholar 

  37. G. Baym, C.J. Pethick, M. Salomaa, J. Low Temp. Phys. 36(3–4), 431 (1979)

    Article  ADS  Google Scholar 

  38. Yu.P. Monarkha, Private communication

  39. D. Einzel, P. Wölfle, J. Low Temp. Phys. 32(1–2), 19 (1978)

    Article  ADS  Google Scholar 

  40. Y.A. Ono, J. Hara, K. Nagai, J. Low Temp. Phys. 48(3–4), 167 (1982)

    Article  ADS  Google Scholar 

  41. G. Kieselmann, D. Rainer, Z. Phys. B 52, 267 (1983)

    Article  ADS  Google Scholar 

  42. T. Okuda, H. Ikegami, H. Akimoto, H. Ishimoto, Phys. Rev. Lett. 80, 2857 (1998)

    Article  ADS  Google Scholar 

  43. N.A. Greaves, A.J. Leggett, J. Phys. C: Solid State Phys. 16, 4383 (1983)

    Article  ADS  Google Scholar 

  44. S.B. Chung, S.C. Zhang, Private communication

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  1. RIKEN, Wako-shi, 351-0198, Japan

    Kimitoshi Kono

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  1. Kimitoshi Kono
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Correspondence to Kimitoshi Kono.

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Kono, K. Electrons on the Surface of Superfluid 3He. J Low Temp Phys 158, 288–300 (2010). https://doi.org/10.1007/s10909-009-9962-3

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  • DOI: https://doi.org/10.1007/s10909-009-9962-3

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